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Simplifying -6n + -20 = -2n + 4(1 + 3n) Reorder the terms: -20 + -6n = -2n + 4(1 + 3n) -20 + -6n = -2n + (1 * 4 + 3n * 4) -20 + -6n = -2n + (4 + 12n) Reorder the terms: -20 + -6n = 4 + -2n + 12n Combine like terms: -2n + 12n = 10n -20 + -6n = 4 + 10n Solving -20 + -6n = 4 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -20 + -6n + -10n = 4 + 10n + -10n Combine like terms: -6n + -10n = -16n -20 + -16n = 4 + 10n + -10n Combine like terms: 10n + -10n = 0 -20 + -16n = 4 + 0 -20 + -16n = 4 Add '20' to each side of the equation. -20 + 20 + -16n = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -16n = 4 + 20 -16n = 4 + 20 Combine like terms: 4 + 20 = 24 -16n = 24 Divide each side by '-16'. n = -1.5 Simplifying n = -1.5
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